A star-like object built from cubes.
vertices: 56
faces: 54
edges: 108
genus: 0
characteristic polynomial:
(-3 + x)2 (-1 + x)11 (1 + x)11 (3 + x)2 (-3 + 12x - 7x2 + x3) (3 + 12x + 7x2 + x3) ( -1 + 11x -x2 - 4x3 + x4)3 (-1 - 11x - x2 + 4x3 + x4)3
dual's characteristic polynomial:
(-4 + x) (-3 - x + x2) (-1 - x + x2) (-1 - x + x2)3 (-1 + x + x2)3 (5 + 5x + x2) (-3 - 6x + x2 + 4x3 + x4)3 (-8 + 5x + 14x2 - 3x3 - 4x4 + x5)3 (18 + 23x - 8x2 - 13x3 + x5)
chromatic number: 3
lattice group (lossy):
Z(2) 19 × Z(3) 9 × A(9)